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Finding the Fourth Proportional to 314,040.84, 471,050.11 and 89,402.46

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Solution

The fourth proportional to 314,040.84, 471,050.11 and 89,402.46 is: 134,100.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,040.84 : 471,050.11 = 89,402.46 : x
  2. Step 2: Convert to fraction form
    314,040.84/471,050.11 = 89,402.46/x
  3. Step 3: Cross multiply
    314,040.84x = 471,050.11 × 89,402.46
  4. Step 4: Simplify right side
    314,040.84x = 42,113,038,617.27
  5. Step 5: Solve for x
    x = 42,113,038,617.27/314,040.84
  6. Step 6: Final answer
    x = 134,100.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.